论文信息 - On the number of Tverberg partitions in the prime power case

On the number of Tverberg partitions in the prime power case

We give an extension of the lower bound of A. Vucic, R. Živaljevic [Notes on a conjecture of Sierksma, Discrete Comput. Geom. 9 (1993) 339-349] for the number of Tverberg partitions from the prime to the prime power case. Our proof is inspired by the Zp-index version of the proof in [J. Matousek, Using the Borsuk-Ulam Theorem, in: Lectures on Topological Methods in Combinatorics and Geometry, Universitext, Springer-Verlag, Heidelberg, 2003] and uses Volovikov's Lemma. Analogously, one obtains an extension of the lower bound for the number of different splittings of a generic necklace to the prime power case.

Stephan Hell

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